What is the Least Common Multiple of 39312 and 39327?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 39312 and 39327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39312 and 39327, than apply into the LCM equation.

GCF(39312,39327) = 3
LCM(39312,39327) = ( 39312 × 39327) / 3
LCM(39312,39327) = 1546023024 / 3
LCM(39312,39327) = 515341008

Least Common Multiple (LCM) of 39312 and 39327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39312 and 39327. First we will calculate the prime factors of 39312 and 39327.

Prime Factorization of 39312

Prime Factorization of 39327

Now multiplying the highest exponent prime factors to calculate the LCM of 39312 and 39327.

LCM(39312,39327) = 2⁴ × 3³ × 7¹ × 13¹ × 13109¹
LCM(39312,39327) = 515341008